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Generalized metric spaces and mappings

The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, partic...

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Detalles Bibliográficos
Autores principales: Lin, Shou, Yun, Ziqiu
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.2991/978-94-6239-216-8
http://cds.cern.ch/record/2229637
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author Lin, Shou
Yun, Ziqiu
author_facet Lin, Shou
Yun, Ziqiu
author_sort Lin, Shou
collection CERN
description The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2016
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spelling cern-22296372021-04-21T19:28:28Zdoi:10.2991/978-94-6239-216-8http://cds.cern.ch/record/2229637engLin, ShouYun, ZiqiuGeneralized metric spaces and mappingsMathematical Physics and MathematicsThe idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.Springeroai:cds.cern.ch:22296372016
spellingShingle Mathematical Physics and Mathematics
Lin, Shou
Yun, Ziqiu
Generalized metric spaces and mappings
title Generalized metric spaces and mappings
title_full Generalized metric spaces and mappings
title_fullStr Generalized metric spaces and mappings
title_full_unstemmed Generalized metric spaces and mappings
title_short Generalized metric spaces and mappings
title_sort generalized metric spaces and mappings
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.2991/978-94-6239-216-8
http://cds.cern.ch/record/2229637
work_keys_str_mv AT linshou generalizedmetricspacesandmappings
AT yunziqiu generalizedmetricspacesandmappings